I am looking for an analytic expression for the partial self-inductance of a
cylindrical wire of finite length that is parallel to and some distance away
from an infinite conducting, floating plane. I am primarily interested in
the limit where all conductors are perfect conductors so the source current
is entirely on the surface of the cylinder and the eddy currents in the
plane are also on the surface. (so the thickness of the plane is not
important). I realize that this situation cannot be realized physically in
that current magically appears at a source at one end of the cylinder and
disappears in a sink at the other end (which is why it is a partial
inductance calculation).

Grover gives an expression for the inductance of a tubular conductor of
finite length in the limit to zero wall thickness which is my starting
point. I want to determine the effects of the eddy currents in the floating
plane on the self-inductance.

Does anyone know if this calculation has been published anywhere? Thanks
for your help,